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Finding the Fourth Proportional to 5,899.22, 8,132.78 and 4,708.22

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Solution

The fourth proportional to 5,899.22, 8,132.78 and 4,708.22 is: 6,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.22 : 8,132.78 = 4,708.22 : x
  2. Step 2: Convert to fraction form
    5,899.22/8,132.78 = 4,708.22/x
  3. Step 3: Cross multiply
    5,899.22x = 8,132.78 × 4,708.22
  4. Step 4: Simplify right side
    5,899.22x = 38,290,853.25
  5. Step 5: Solve for x
    x = 38,290,853.25/5,899.22
  6. Step 6: Final answer
    x = 6,490.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.